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Linear Algebra and its Applications
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An extension of inequalities by Ando

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Nov 2019Embargo end date: 01 Jan 2019 France English Publisher:Elsevier BVJournal:Linear Algebra and its Applications, volume 580, pages 336-342 (issn: 0024-3795, Copyright policy )
Authors: Ricard, Éric;

doi: 10.1016/j.laa.2019.06.029 , 10.48550/arxiv.1907.02492

arXiv: 1907.02492

An extension of inequalities by Ando

Abstract

We give variations on Ando's result comparing $f(B)-f(A)$ and $f(|B-A|)$ with respect to unitarily invariant norms on matrices.

Country
France
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Keywords

Mathematics - Functional Analysis, Miscellaneous inequalities involving matrices, FOS: Mathematics, Norms of matrices, numerical range, applications of functional analysis to matrix theory, norm inequalities, functional calculus, [MATH.MATH-FA]Mathematics [math]/Functional Analysis [math.FA], Functional Analysis (math.FA)

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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